Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 4

GENERALIZED FIXED POINT RESULTS WITH MULTI-VALUED MAPPINGS

Pulak KONAR,Ashim Kumar JANA,Radha Binod DAS,Samir Kumar BHANDARI,Rashmi Rekha DEVI

Sayfa
1116–1127
DOI
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Özet

Abstract.In this article we deduce fixed point results for multi-valued contractionmappings. We primarily established two fixed results. One of them is the generalizationof Nadler’s contraction and the other result is the generalization of Mizoguchi-Takahashi’scontraction. Some corollaries have been obtained from the main results and our resultsgeneralize some of the existing results. Illustrative examples are also constructed tosupport our main results.